Answer:
The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Step-by-step explanation:
Given as :
The three line equation is
Line 1 : 2 y = 5 x + 6
Line 2 : y = [tex]\frac{2}{5}[/tex] x - 1
Line 3 : 10 x + 4 y = - 6
Now, The standard equation of line is
y = m x + c
where m is the slope of line
And c is the y intercept
So, From Line 1
2 y = 5 x + 6
or , y = [tex]\frac{5}{2}[/tex] x + [tex]\frac{6}{2}[/tex]
I.e y = [tex]\frac{5}{2}[/tex] x + 3
So, slope of this line = [tex]m_1[/tex] = [tex]\frac{5}{2}[/tex]
Again , From Line 2
y = [tex]\frac{2}{5}[/tex] x - 1
So, slope of this line = [tex]m_2[/tex] = [tex]\frac{2}{5}[/tex]
Similarly , From Line 3
10 x + 4 y = - 6
I.e 4 y = - 6 - 10 x
or, y = - [tex]\frac{6}{4}[/tex] - [tex]\frac{10}{4}[/tex] x
I.e y = - [tex]\frac{5}{2}[/tex] x - [tex]\frac{6}{4}[/tex]
So, Slope of this line = [tex]m_3[/tex] = - [tex]\frac{5}{2}[/tex]
Now, If the lines are parallel , then the slope of the lines are equal
And If the lines are perpendicular , then the product of the slopes of the lines = - 1
Now, From given lines
[tex]m_2[/tex] × [tex]m_3[/tex] = [tex]\frac{2}{5}[/tex] × ( - [tex]\frac{5}{2}[/tex] )
I.e [tex]m_2[/tex] × [tex]m_3[/tex] = - 1
So, The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3
Hence The line 2 and Line 3 are perpendicular to each others
But There is no relation between Line 1 and Line 2 , Line 1 and Line 3 Answer
(-20)/4=
What’s the answer ?
Answer:
-5
Step-by-step explanation:
A negative number divided by a positive number will be negative.
20/4 is 5.
(5x4=20)
Therefore (-20)/4 = (-5)
9(2x + 1) – 4(x – 6) = 6(2x + 1) + 5(x – 6)
What does x equal and why??
Answer:
x = 19Step-by-step explanation:
[tex]9(2x+1)-4(x-6)=6(2x+1)+5(x-6)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(9)(2x)+(9)(1)+(-4)(x)+(-4)(-6)=(6)(2x)+(6)(1)+(5)(x)+(5)(-6)\\\\18x+9-4x+24=12x+6+5x-30\\\\\text{combine like terms}\\\\(18x-4x)+(9+24)=(12x+5x)+(6-30)\\\\14x+33=17x-24\qquad\text{subtract 33 from both sides}\\\\14x+33-33=17x-24-33\\\\14x=17x-57\qquad\text{subtract}\ 17x\ \text{from both sides}\\\\14x-17x=17x-17x-57\\\\-3x=-57\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{-57}{-3}\\\\x=19[/tex]
Shanley would like to give $5 gift cards and $4 teddy bears as party favors. Shanley has $124 to spend on party favors. Enter an inequality to find the number of gift cards x and teddy bears y Shanley could purchase. Give one solution to the inequality.
The inequality is:
[tex]5x+4y \leq 124[/tex]
Give one solution to the inequality:
Let x = 5 and y = 10
[tex]65\leq 124\,\,\,true[/tex]
Step-by-step explanation:
Cost of Gift cards= $5
Cost of Teddy bear = $4
Total money to spend on party = $124
The required inequality is:
Let no of gift cards= x
and no of teddy bears = y
The inequality is:
[tex]5x+4y \leq 124[/tex]
Give one solution to the inequality:
Let x = 5 and y = 10
then, the solution will be:
[tex]5x+4y \leq 124\\5(5)+4(10)\leq 124\\25+40\leq 124\\65\leq 124\,\,\,true[/tex]
Keywords: Solving inequalities
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Answer:
The inequality is 5x + 4y < and the line under the sign 124
(10,9)
Step-by-step explanation:
A neighborhood garden is 3/4 acre in size. It is divided into plots that are each 1/8 acre. How many 1/8-acre plots are there in the neighborhood garden?
Use the models below to help you.
A. 1
B. 4
C. 6
D. 7
Answer:A
Step-by-step explanation:The answer is A because if you divide the numbers equally, then you will get 1
The number of 1/8-acre plots in a 3/4-acre garden is 6.
Explanation:The question is about dividing the total area of a garden into smaller plots and finding out how many plots there will be. Here, the total size of the garden is given as 3/4 acre and each plot is 1/8 acre in size. To find out how many 1/8-acre plots make 3/4 of an acre, we perform a division: 3/4 divided by 1/8. This is the same as multiplying 3/4 by the reciprocal (the 'flipped' fraction) of 1/8, which is 8/1. So, the calculation is 3/4 * 8/1 = 24/4 = 6. Therefore, there are 6 1/8-acre plots in a 3/4-acre garden.
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I am a multiple of 5, but not a
multiple of 10. My units and hundreds
digits are the same. The sum of my
three digits is 11.
Answer:
515
Step-by-step explanation:
If it's a multiple of five and not ten, that would be the units digit must be 5. Hundreds=units. 11-10=1. So the answer is 515
The number is a multiple of 5 but not 10, with the units and hundreds digits being the same and their sum being 11. Therefore, the number is 505.
Explanation:This question can be solved by analyzing the given clues. The number is a multiple of 5 but not 10, so it cannot end in 0. The units and hundreds digits are the same, meaning they both have to be a single digit number. Additionally, the sum of the three digits is 11.
Since the units and hundreds digits are the same, and their sum is 11, they both must be equal to 5. Thus, the number is 505.
a total of 677 tickets were sold for the school play they were either adult tickets or student tickets there were 73 fewer students tickets than adult tickets how many adult tickets were sold
Answer:
375 adult tickets and 302 student tickets
Step-by-step explanation:
s+a=677
a=s+73
s+s+73=677
2s+73=677
2s=604
s=302
a= 375
Final answer:
Explanation on finding the number of adult tickets sold for a school play when the total number of tickets sold and the relationship between adult and student tickets are known.
Explanation:
The total number of tickets sold for the school play was 677.
Let x be the number of adult tickets sold.
It is given that there were 73 fewer student tickets than adult tickets, so the number of student tickets sold would be x - 73.
Therefore, x + (x - 73) = 677.
Solving this equation, we find that 2x - 73 = 677, 2x = 750, x = 375.
So, 375 adult tickets were sold.
(3j +11) +(8j-7) how do you find the sum
Answer:
11j + 4
Step-by-step explanation:
Disregard parentheses in this situation.
3j + 11 + 8j - 7
Add the j's
11j + 11 - 7
11j + 4
The vertices of A ABC are (-2,-4),(-4-2) and (- 6. - 4) respectively. Translate ∆ ABC
ABC by the vector (2,3) and reflect the image on the line x=0. Find the co-ordinates of
the vertices of the image under the combined transformation and draw all the triangles
in the graph.
A(-2,-4), B(-4,-2), C(-6,-4)
Translating by (2,3) adds 2 to the x and 3 to the y so gives
A'(0,-1), B'(-2,1), C'(-4, -1)
Reflecting in x=0 (the y axis) keeps the ys the same but negates the xs
A''(0,-1), B''(2,1), C''(4,-1)
I'll leave the drawing to you.
For the data in the table, find the line of best fit, rounding values to three places if necessary. A) y = 4.88 + 0.625x B) y = 4.98 + 0.725x C) y = 4.88 + 0.525x D) y = 4.98 + 0.425x
Answer: y = 4.88 + 0.525x
The equation of the line of best fit for the data shown in the picture is y=0.894x+0.535
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
We have a data in the table:
Let's suppose the equation for the line is:
y = mx + c
Where m is the slope of the line and c is the y-intercept.
The value of m is given by:
[tex]\rm m = \frac{S_{xy}}{S_{xx}} }[/tex] and
[tex]\rm S_{xy} = \sum_{i=1}^{n}x_iy_i-\frac{(\sum_{i=1}^{n}x_i)(\sum_{i=1}^{n}y_i)}{n}[/tex]
[tex]\rm S_{xx} = \sum_{i=1}^{n}x_i^2-\frac{(\sum_{i=1}^{n}x_i)^2}{n}[/tex]
From the table(data is not mentioned we have assumed the data) the values of [tex]\rm \sum_{i=1}^{n}x_iy_i= 415[/tex], [tex]\rm {\sum_{i=1}^{n}x_i= 44[/tex], [tex]\rm {\sum_{i=1}^{n}y_i= 42[/tex],
[tex]\rm {\sum_{i=1}^{n}x_i^2= 438[/tex], and n = 5.
[tex]\rm S_{xy}= 415-\frac{44\times42}{5} \Rightarrow 45.4\\\\\rm S_{xx}= 438- \frac{44^2}{5} \Rightarrow 50.8[/tex]
[tex]\rm m = \frac{45.4}{50.8} } \Rightarrow 0.8937 \approx0.894[/tex]
For c we have to calculate the means of x and y for this:
[tex]\rm \bar{x} = \frac{\sum x}{n} \Rightarrow \frac{44}{5} \Rightarrow8.8[/tex]
[tex]\rm \bar{y} = \frac{\sum y}{n} \Rightarrow \frac{42}{5} \Rightarrow8.4[/tex]
Now, put the above values in the equation of a line to find the value of c
8.4 = (0.894)(8.8)+c
c = 0.5328 ≈ 0.535
Now the line is y = 0.894x+0.535
Thus, the line of best fit for the data shown in the picture is y=0.894x+0.535
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Simplify the expression -4b+8c+12-8b-2c+6
Answer:
-6(2b-c-3)
Step-by-step explanation:
Collect like terms
-12b+6c+12+6
Add the 2 numbers on right
-12b+6c+18
Factor -6 out of expression
-6(2b-c-3)
Answer:
2.03
Step-by-step explanation:
In order to buy an authentic Wookie mask,, Dale invests $6000 in an account at 9.5% interest compounded continuously. The mask costs $12000. How long will it take until Dale car
buy this mask? Round your answer to the nearest hundredth.
years
It will take 7.30 years until Dale can by his mask
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex] , where
A is the future value of the investment, including interestP is the principal investment amount (the initial amount)r is the interest rate in decimalt is the time the money is invested forDale invests $6000 in an account at 9.5% interest compounded continuously. The mask costs $12000. We need to find how long will it take Dale until can buy this mask
∵ Dale invests $6000
∴ P = 6000
∵ The interest rate is 9.5% ⇒ compounded continuously
∴ r = 9.5% = 9.5 ÷ 100 = 0.095
∵ The mask costs $12000
∴ A = 12000
Substitute these values in the formula above
∵ [tex]12000=6000e^{0.095t}[/tex]
- Divide both sides by 6000
∴ [tex]2=e^{0.095t}[/tex]
- Insert ㏑ for both sides
∴ [tex]ln(2)=ln(e^{0.095t}[/tex])
- Remember that [tex]ln(e^{n})=n[/tex]
∴ [tex]ln(2)=0.095t[/tex]
- Divide both sides by 0.095
∴ t = 7.29628611
∴ t = 7.30 ⇒ to the nearest hundredth year
It will take 7.30 years until Dale can by his mask
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It will take Dale 7.64 years to save enough money to buy the mask we can use the method of compound interest.
To find how long it will take Dale to save enough money to buy the mask, we can use the following formula for compound interest:
A = P * e^(rt)
where:
A is the final amount
P is the principal amount
r is the interest rate
t is the time in years
We know that A = $12000, P = $6000, and r = 9.5%. We need to solve for t.
12000 = 6000 * e^(0.095t)
e^(0.095t) = 2
ln(2) = 0.095t
t = ln(2) / 0.095
t = 7.64
Therefore, it will take Dale 7.64 years to save enough money to buy the mask.
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4) Mark rented a bike from Jose's Bikes. It
cost $10 plus $6 per hour. If Mark paid
$22, then he rented the bike for how many
hours?
Answer: 2hrs
Step-by-step explanation:
paid 10 dollars at first and then 6 every hour he rode
so let x represent the # of hour rented
6x+10=22
x=2hrs
-3x+3y=9 2x−7y=−14
The system of equations -3x + 3y = 9 and 2x - 7y = -14 belongs to the branch of math called Algebra. You can solve the system using methods like substitution or elimination. The solution for the system is x = -2, y = 1.6.
Explanation:The given equations are part of the math branch known as Algebra, specifically a system of linear equations. The system consists of the following equations:
-3x + 3y = 9 and 2x - 7y = -14
To solve for x and y, you use the method of substitution or elimination. Let's use the method of elimination:
Multiply the first equation by 2 and the second equation by 3:
-6x + 6y = 18 and 6x - 21y = -42
Then, sum both equations (this will cancel the x variable, leading to a single equation with y):
-15y = -24
Finally, divide by -15 to solve for y, which gives y = 24/15 or 1.6. Substituting y into the first equation gives x = -2.
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Greta reads 1 1/2 pages per minute when she reads her homework assignment. At this rate, how long does it take Greta to read 60 pages?
Answer:
40 minutes
Step-by-step explanation:
60 pages / (1 1/2 pages/ minute)
= 60 / 3/2 minutes
= 40 minutes
Answer:
330 minutes
Step-by-step explanation:
11/2 times 60/1
so basically just do 60 times 11 equals
660 then divided by 2 equals 330
so she will read 60 pages in 330 minutes, I hope I did it right
I think I'm wrong
On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).
How do the areas of triangle ABC and DEF compare?
The area of △ABC is 1 square unit less than the area of △DEF.
The area of △ABC is equal to the area of △DEF.
The area of △ABC is 1 square unit greater than the area of △DEF.
The area of △ABC is 2 square units greater than the area of △DEF.
Answer:
A
Step-by-step explanation:
I just did it
Based on the above description, the areas of triangle ABC and DEF is compared to The area of △ABC is equal to the area of △DEF.
What is the triangle about?Looking at the image show:
The area of △ABC
= 4 x 3 x 1/2
=6
The area of △DEF
= 6 x 2 x 1/2
= 6
Therefore, from the above, the areas of triangle ABC and DEF is compared to The area of △ABC is equal to the area of △DEF.
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What is m∠LNM?
m∠LNM = °72
Answer:
72 degrees
Step-by-step explanation:
Congruent supplements Theorem.
The symbol m∠LNM denotes the measure of the angle formed by points L, N, M. The 'm' stands for measure, '∠' denotes an angle, and LNM are the points forming the angle. In this context, m∠LNM is 72 degrees.
Explanation:The term m∠LNM refers to the measure of angle LNM. In mathematical notation, the symbol '∠' is often used to denote an angle, and LNM refers to the points forming the angle. For instance, if you have a triangle or any other polygon, and points L, N, and M are three vertices (corners) of the shape, then ∠LNM would be the angle at vertex N, formed by the intersection of line segments LN and NM. Given that m∠LNM is said to be 72°, this indicates that the measure of angle LNM is 72 degrees.
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Jesse has made 120 cookies for the sale
and has one more day to bake. Jesse's
pan allows her to bake 20 cookies per
batch.
Jesse can use the equation of the
function to predict the total number of
cookies:
y=120 + 20(x). However, she prefers to
use a table.
Use the equation tool to complete the table. y=120+20(x)
Answer:
280
Step-by-step explanation:
Answer:280
Step-by-step explanation:
From 240 to 260 you add 20 each time so 260 plus 20 will give us the answer (280)
what is the value of x is in the solution set of 8x-6>12+2x?
Answer:
see explanation
Step-by-step explanation:
Given
8x - 6 > 12 + 2x ( subtract 2x from both sides )
6x - 6 > 12 ( add 6 to both sides )
6x > 18 ( divide both sides by 6 )
x > 3
Any value of x greater than 3 will be in the solution set
Factor 1/10 out of 1/10x-7/10
Answer:
[tex]\large\boxed{\dfrac{1}{10}x-\dfrac{7}{10}=\dfrac{1}{10}(x-7)}[/tex]
Step-by-step explanation:
[tex]\dfrac{1}{10}x=\left(\dfrac{1}{10}\right)(x)\\\\\dfrac{7}{10}=\left(\dfrac{1}{10}\right)(7)\\\\\dfrac{1}{10}x-\dfrac{7}{10}=\left(\dfrac{1}{10}\right)(x)-\left(\dfrac{1}{10}\right)(7)=\left(\dfrac{1}{10}\right)(x-7)[/tex]
Which simplified expression matches the set of tiles shown?
-x² – x+2
x² - x + 2
-x²+x+2
x2+x+2
Algebra tiles are a useful tool to simplify expressions. Depending on their shape and decoration, they represent different parts of the expression. Review your tiles and match them to the four given expressions carefully.
Explanation:The question pertains to Algebra and specifically, matching a simplified algebraic expression to a set of tiles. The exact matching algebraic expression cannot be determined as the set of tiles isn't provided in the question but here's how you would approach this kind of problem:
If you're using algebra tiles, squares typically represent x², rectangles portray x, and small squares depict constants like 2. The color or decoration of a tile may indicate a positive or negative value. For example, a square with '- ' could mean '-x²'.
So if you've got a square with '- ', a rectangle without a decoration, and two small plain squares, your expression should be '-x² - x + 2'. If the rectangle had a '-', your expression would be '-x² + x + 2' instead.
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The set of tiles shown represents the expression x² - x + 2.
Explanation:The set of tiles shown represents the expression x² - x + 2.
To match the tiles to the simplified expression, look at the coefficient and exponent of x on each tile. The first tile has an exponent of 2 and a coefficient of 1. The second tile has an exponent of 1 and a coefficient of -1. The third tile has an exponent of 0 and a coefficient of 2. Therefore, the simplified expression that matches the set of tiles is x² - x + 2.
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x=3y – 10
x 2y - 5 Solve by subst8tution
Answer:
x=5, y=5. (5, 5).
Step-by-step explanation:
x=3y-10
x=2y-5
--------------
3y-10=2y-5
3y-2y-10=-5
y-10=-5
y=-5+10
y=5
x=2(5)-5=10-5=5
if the variables x and y have a strong positive correlation, what generally happens to y as x increases? what if x and y have a strong negative correlation?
If there is a strong positive correlation between "x" and "y" then when "x" increases, "y" tends to increase
If variables x and y have strong negative correlation then as "x" increases in value, "y" will decrease; similarly, if "x" decreases in value, "y" will increase
Solution:1) If the variables x and y have a strong positive correlation, what generally happens to y as x increases?
Let us first understand about strong positive correlation
Given that "x" and "y" has strong positive correlation
Correlation coefficients are used to measure the strength of the relationship between two variables.
Positive correlation:
Positive correlation is a relationship between two variables in which both variables move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.
When one variable moves higher or lower, the other variable moves in the same direction with the same magnitude.
Therefore if there is a strong positive correlation between "x" and "y" then when "x" increases, "y" tends to increase
2) What if x and y have a strong negative correlation?
Negative correlation is a relationship between two variables in which one variable increases as the other decreases, and vice versa.
Negative correlation is a relationship between two variables whereby they move in opposite directions.
If variables x and y have strong negative correlation then as "x" increases in value, "y" will decrease; similarly, if "x" decreases in value, "y" will increase
Explain how you can write an equation for a line with slope 1/2 that crosses the y-axis at the point (0,-1).
Answer:
y= 1/2x-1
Step-by-step explanation:
The equation of a line is y= mx+c
m represents the slope of the line
c represents the y-intercept
So we plug in our information into the equation.
The slope is 1/2 so y= 1/2x + c
The line crosses at (0,-1) which makes -1 the y-intercept as the line crosses at this point on the y-axis.
Therefore, y= 1/2x-1
To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, y = mx + b. Substitute the given values into the equation to get y = (1/2)x - 1.
Explanation:To write an equation for a line with a slope of 1/2 that crosses the y-axis at the point (0,-1), we can use the slope-intercept form of a linear equation, which is y = mx + b.
Here, 'm' represents the slope and 'b' represents the y-intercept.
Since the slope is 1/2 and the y-intercept is at (0,-1), we can substitute these values into the equation to get y = (1/2)x + (-1) or y = (1/2)x - 1.
This equation represents a line with a slope of 1/2 and crosses the y-axis at the point (0,-1).
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I need answers to 4 and 5!!!
Answer:
4. B
5. C
Step-by-step explanation:
4.
We can say the 5 angles of the Pentagon PQRST equals 540 degrees.
We see that Angle P and Angle T are 90 degrees each.
R is given as 100
Q and S are same, let it be "x"
Now we can write an equation:
P + Q + R + S + T = 540
90 + x + 100 + x + 90 = 540
Solving for x, we get:
2x + 280 = 540
2x = 540 - 280
2x = 260
x = 260/2
x = 130
Angle Q is equal to x, so that is 130
Correct answer is B
5.
When 2 parallel lines are cut by transversal, the corresponding angles are equal.
The 60 degree angle given and the angle adjacent (beside) to angle x are same. So we can say that is equal to 60 degrees as well.
This 60 degree angle and x form a straight line. The degree measure of a straight line (or a straight angle) is 180 degrees. Thus we can write:
60 + x = 180
Now, we solve for x:
60 + x = 180
x = 180 - 60
x = 120
The correct answer is C
50% of what number is 284?
I believe 50% of 284 =142
Answer:
284/50*100 = 586 or simply double 284
Step-by-step explanation:
What is the answer to this?
Answer:
7^-12 or 1/7^12
Step-by-step explanation:
To divide exponents with the same base, subtract the second exponent from the first.
So:
7^-5/7^7 = 7^-5-7 = 7^-12
You can also write 7^-12 as 1/7^12.
Describe a relationship modeled by the function f(x) = 4x3 − 72x2 + 320x
Answer:
A relationship modeled by the function f(x) = 4x³ - 72x² + 320x is the volume of a right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.Explanation:
To find a relationship modeled by the given function it is recommendable to factor it.
The function is:
[tex]f(x)=4x^3-72x^2+320x[/tex]The first step to factor it is to extract common factor 4x:
[tex]f(x)=4x(x^2-18x+80)[/tex]The second step is to factor the quadratic trinomial.
That is made by writting it as a product of two binomials, for which the two constant terms add up - 18 and their product is 80. Those terms are -10 and - 8; so the two factors are (x - 10) and (x - 8), and the factored form is:
[tex]f(x)=(4x)(x-10)(x-8)[/tex]Then, a relationship modeled by that polynomial is the volume of right prism whose dimensions are 4 times a desired length, 10 units less that such desired length, and 8 units less than the same desired length.
x is the desired (unknown) length 4x is 4 times the desired lengthx - 10 is 10 less than the desired lengthx - 8 is 8 less than the desired lengthThus, the volume of the prism is the product of the three factors:
Volume = (4x)(x-10)(x-8)If f(x) = 2x + 25, then f(3) =
Answer:
31
Step-by-step explanation:
given f(x) = 2x + 25,
f(3) =2(3) + 25
= 6 + 25
= 31
Answer:
Step-by-step explanation:
I NEED HELP FAST what is y+1=5/6(x-2) in standard form?
Answer:
[tex]\large\boxed{5x-6y=16}[/tex]
Step-by-step explanation:
The standard form of an equation of a line:
[tex]Ax+By=C[/tex]
We have the equation in the point-slope form. Convert:
[tex]y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}[/tex]
Which expressions are equivalent to 36 y - 18 x - 108 y + 54 so that you correct answers
For this case we must find an expression equivalent to:
[tex]36y-18x-108y + 54[/tex]
We add similar terms:
[tex]36y-108y-18x + 54 =[/tex]
Different signs are subtracted and the sign of the major is placed:
[tex]-72y-18x + 54[/tex]
Thus, an equivalent expression is:
[tex]-72y-18x + 54\\-18x-72y + 54[/tex]
Answer:
[tex]-18x-72y + 54[/tex]
Final answer:
To find equivalent expressions, we combine like terms in the given expression 36y - 18x - 108y + 54.
Explanation:
To find expressions equivalent to 36y - 18x - 108y + 54, we can combine like terms.
First, combine the y terms: 36y - 108y = -72y.
Next, combine the x terms: -18x.
Combining the constants, we have: 54.
Putting it all together, the equivalent expression is: -18x - 72y + 54.